-12870

Appears in sequences

• Coefficient triangle for certain polynomials N(2; n,x) (rising powers of x).at n=43A062991
• G.f.: (1-16*x+28*x^2+56*x^3-140*x^4+56*x^5+28*x^6-16*x^7+x^8)/(x^2-x+1)^8.at n=8A112403
• G.f. is the real part of the function C(x) that satisfies C(x) = 1 + x/C(I*x).at n=35A193382
• G.f. is the imaginary part of the function C(x) that satisfies: C(x) = 1 + x/C(I*x).at n=32A193383
• G.f. is the imaginary part of the function C(x) that satisfies: C(x) = 1 + x/C(I*x).at n=33A193383
• Irregular triangle read by rows: T(n,m) = coefficients in a power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space trajectory.at n=27A276738
• Regular triangle, coefficients of the polynomial P(n)(x) = (-1)^(n+1)*(2*n+1)*binomial(2*n, n)*Sum_{i=0..n} x^i*binomial(n, i)/(n+i+1).at n=44A327809
• Triangle read by rows: T(n, k) = (-1)^(k+1)*binomial(n,k)*binomial(n+k,k) (n >= k >= 0).at n=44A331430
• Expansion of g.f. A(x,y) satisfying 0 = Sum_{n=-oo..+oo} x^n * A(x,y)^n * (y - x^(n-1))^(n+1), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=53A366730
• Triangle read by rows: T(n, k) = (-1)^(n + k)*2*binomial(2*k - 1, n)* binomial(2*n + 1, 2*k) for k > 0, and k^n for k = 0.at n=32A368846
• Triangle read by rows: T(n, k) = (-1)^(n + 1)*L(n) * M(n, k) where M is the inverse of the matrix generated by the triangle A368846 and L(n) is the lcm of the denominators of the terms in the n-th row of M.at n=24A369134